Commercial Rating Question

Do the two VRF cross country trips required for the commercial rating (2 hrs,
100 nm min, one day, one night) have to be dual? FAR 61.129(a)(3) seems to
imply that it should be dual in the statement:

"20 hours of training on the areas of operation listed in 61.127(b)(1) of
this part that includes at least --

(iii) One cross-country flight of at least 2 hours in a single-engine airplane
in day VFR conditions, consisting of a total straight-line distance of more
than 100 nautical miles from the original point of departure;

(iv) One cross-country flight of at least 2 hours in a single-engine airplane
in night VFR conditions, consisting of a total straight-line distance of more
than 100 nautical miles from the original point of departure; ... "

I assume that "training" implies dual. Is this a correct assumption?

-- Dane